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422242244020 = 2251729373114809
BaseRepresentation
bin1100010010011111001…
…10010101010110110100
31111100212210021102210101
412021033212111112310
523404223003302040
6521550404403444
742335361566332
oct6111746252664
91440783242711
10422242244020
11153087814553
1269a000a6584
1330a8171868c
14166181a0b52
15aeb442809a
hex624f9955b4

422242244020 has 96 divisors (see below), whose sum is σ = 973855159200. Its totient is φ = 153067536384.

The previous prime is 422242243999. The next prime is 422242244027. The reversal of 422242244020 is 20442242224.

It can be written as a sum of positive squares in 16 ways, for example, as 8551440676 + 413690803344 = 92474^2 + 643188^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 422242244020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422242244027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3620376 + ... + 3735184.

It is an arithmetic number, because the mean of its divisors is an integer number (10144324575).

Almost surely, 2422242244020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422242244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486927579600).

422242244020 is an abundant number, since it is smaller than the sum of its proper divisors (551612915180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422242244020 is a wasteful number, since it uses less digits than its factorization.

422242244020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115237 (or 115235 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 422242244020 its reverse (20442242224), we get a palindrome (442684486244).

The spelling of 422242244020 in words is "four hundred twenty-two billion, two hundred forty-two million, two hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 373 493 580 746 986 1492 1865 1972 2465 3730 4930 6341 7460 9860 10817 12682 21634 25364 31705 43268 54085 63410 108170 114809 126820 183889 216340 229618 367778 459236 574045 735556 919445 1148090 1838890 1951753 2296180 3329461 3677780 3903506 6658922 7807012 9758765 13317844 16647305 19517530 33294610 39035060 42823757 56600837 66589220 85647514 113201674 171295028 214118785 226403348 283004185 428237570 566008370 728003869 856475140 1132016740 1241888953 1456007738 2483777906 2912015476 3640019345 4967555812 6209444765 7280038690 12418889530 14560077380 21112112201 24837779060 42224224402 84448448804 105560561005 211121122010 422242244020